Question

IXL Search topics and skills Learning Diagnostic Analytics TN Standard Recommendations Skill plans Eighth grade > Z.12 Write a linear function from a table y Fill in the missing numbers to complete the linear equation that gives the rule for this table. 5 60 6 73 86 8 99 X y

Answer 1

Slope-intercept equation:

y=mx+b

Where;

m= slope

b= y-intercept

First, we have to find the slope (m). Apply the formula:

`m=(y2-y1)/(x2-x1)`

Select 2 coordinate points from the table:

(x1,y1) = (5,60)

(x2,y2) = (6,73)

Replacing;

`m=(73-60)/(6-5)=(13)/(1)=13`

So far we have:

y= 13x+b

Plug a coordinate point (x,y )from the table in the equation and solve for b.

For example (x,y) = (5,60)

60 = 13 (5) + b

60 = 65 + b

60-65 = b

b= -5

Final equation:

y= 13x-5